What is the Greatest Common Factor of 63882 and 63896?

Greatest common factor (GCF) of 63882 and 63896 is 14.

GCF(63882,63896) = 14

We will now calculate the prime factors of 63882 and 63896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63882 and 63896.

How to find the GCF of 63882 and 63896?

We will first find the prime factorization of 63882 and 63896. After we will calculate the factors of 63882 and 63896 and find the biggest common factor number .

Step-1: Prime Factorization of 63882

Prime factors of 63882 are 2, 3, 7, 13. Prime factorization of 63882 in exponential form is:

63882 = 2¹ × 3³ × 7¹ × 13²

Step-2: Prime Factorization of 63896

Prime factors of 63896 are 2, 7, 163. Prime factorization of 63896 in exponential form is:

63896 = 2³ × 7² × 163¹

Step-3: Factors of 63882

List of positive integer factors of 63882 that divides 63882 without a remainder.

1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 169, 182, 189, 234, 273, 338, 351, 378, 507, 546, 702, 819, 1014, 1183, 1521, 1638, 2366, 2457, 3042, 3549, 4563, 4914, 7098, 9126, 10647, 21294, 31941

Step-4: Factors of 63896

List of positive integer factors of 63896 that divides 63882 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 163, 196, 326, 392, 652, 1141, 1304, 2282, 4564, 7987, 9128, 15974, 31948

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63882 and 63896. The biggest common factor number is the GCF number.
So the greatest common factor 63882 and 63896 is 14.

Also check out the Least Common Multiple of 63882 and 63896